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Finding the Fourth Proportional to 54,834.32, 82,285.32 and 21,548.54

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Solution

The fourth proportional to 54,834.32, 82,285.32 and 21,548.54 is: 32,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,834.32 : 82,285.32 = 21,548.54 : x
  2. Step 2: Convert to fraction form
    54,834.32/82,285.32 = 21,548.54/x
  3. Step 3: Cross multiply
    54,834.32x = 82,285.32 × 21,548.54
  4. Step 4: Simplify right side
    54,834.32x = 1,773,128,509.43
  5. Step 5: Solve for x
    x = 1,773,128,509.43/54,834.32
  6. Step 6: Final answer
    x = 32,336.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.